Q&A for How to Divide Binary Numbers

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Why is it important to study binary number systems, since they're rarely used nowadays?

Community Answer

They are used very frequently nowadays, actually. All digital appliances like computers, cell phones, smart TVs, etc. work internally by using the binary number system. A computer, for example, stores information only in the form of binary numbers. If you want to pursue a career in an IT field or the sciences, knowledge of the binary number system is essential.

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Question

How do I divide binary numbers?

Community Answer

Write the first digit of the quotient above the last dividend digit you were using in the comparison. Multiply and subtract to find the remainder.

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Why there are only two numbers in binary number system?

Donagan

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The binary system is a base-2 system, meaning it uses two numerals, 0 and 1. Our decimal system is base-10: it has ten numerals, 0 through 9.

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How can i divide binary number 1101 by 111?

Community Answer

Use the base 2 long division algorithm. The quotient is less than 10 because 111*10 = 1110 > 1101, but it is at least 1 because 4 digits is more than 3. Subtract 1101 - 111*1 = 110. If you want the answer in quotient and remainder or as a mixed fraction, you can stop there and say 1101/111 = 1 rem 110 or 1 + 110/111. If you want a decimal form of the answer, continue dividing 110.00000 by 111 the same way. As with base 10 fractions, the decimals will eventually repeat periodically.

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